Question

what is the equation of the line shown below? Give your answer in slope-intercept form. (5,4) (-4,-5)

Answer 1

Answer:

y = 1x + -1 or y = x - 1

Step-by-step explanation:

Answer 2

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 4, - 5)

m = $\frac{-5-4}{-4-5}$ = $\frac{-9}{-9}$ = 1, thus

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (5, 4), then

4 = 5 + c ⇒ c = 4 - 5 = - 1

y = x - 1 ← equation in slope- intercept form